Suppose that the current yield for a $1-$year bond is $2$ percent and it is expected that subsequent $1-$year rates will rise to $4$ percent, $6$ percent and $10$ percent, respectively. Suppose that investors demand liquidity premium of $1$ percent, $2$ percent and $3$ percent on $1-$year bond, $2-$year bond and $3-$year bond, respectively introduce the idea of a liquidity premium$($i$)$Why liquidity premium?Is this a typical liquidity premium pattern? Briefly explain.$($ii$)$Calculate the current yield on a $2-$year long$-$term government bond.$($iii$)$Calculate the current yield on a $3-$year long$-$term government bond$($iv$)$Calculate the current yield on a $4-$year long$-$term government bond$($v$)$On the same graph, draw the yield curve in question $2($v$)$ and the yield curve for this question. Comment on the relationshipbetween the two yield curves.